function [VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction()
    % This is the "main function".  In Matlab, things work best if you rename this function to match the filename.
   [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel();
end

function [algebraicVariableCount] = getAlgebraicVariableCount() 
    % Used later when setting a global variable with the number of algebraic variables.
    % Note: This is not the "main method".  
    algebraicVariableCount =25;
end
% There are a total of 8 entries in each of the rate and state variable arrays.
% There are a total of 24 entries in the constant variable array.
%

function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
    % Create ALGEBRAIC of correct size
    global algebraicVariableCount;  algebraicVariableCount = getAlgebraicVariableCount();
    % Initialise constants and state variables
    [INIT_STATES, CONSTANTS] = initConsts;

    % Set timespan to solve over 
    tspan = [0, 10];

    % Set numerical accuracy options for ODE solver
    options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1);

    % Solve model with ODE solver
    [VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);

    % Compute algebraic variables
    [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
    ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);

    % Plot state variables against variable of integration
    [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends();
    figure();
    plot(VOI, STATES);
    xlabel(LEGEND_VOI);
    l = legend(LEGEND_STATES);
    set(l,'Interpreter','none');
end

function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
    LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
    LEGEND_VOI = strpad('time in component environment (millisecond)');
    LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)');
    LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (joule_per_kilomole_kelvin)');
    LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)');
    LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_mole)');
    LEGEND_CONSTANTS(:,4) = strpad('C in component membrane (microF_per_cm2)');
    LEGEND_ALGEBRAIC(:,1) = strpad('I_stim in component membrane (microA_per_cm2)');
    LEGEND_ALGEBRAIC(:,8) = strpad('i_Na in component fast_sodium_current (microA_per_cm2)');
    LEGEND_ALGEBRAIC(:,16) = strpad('i_si in component slow_inward_current (microA_per_cm2)');
    LEGEND_ALGEBRAIC(:,18) = strpad('i_K in component time_dependent_potassium_current (microA_per_cm2)');
    LEGEND_ALGEBRAIC(:,22) = strpad('i_K1 in component time_independent_potassium_current (microA_per_cm2)');
    LEGEND_ALGEBRAIC(:,24) = strpad('i_Kp in component plateau_potassium_current (microA_per_cm2)');
    LEGEND_ALGEBRAIC(:,25) = strpad('i_b in component background_current (microA_per_cm2)');
    LEGEND_CONSTANTS(:,5) = strpad('stim_start in component membrane (millisecond)');
    LEGEND_CONSTANTS(:,6) = strpad('stim_end in component membrane (millisecond)');
    LEGEND_CONSTANTS(:,7) = strpad('stim_period in component membrane (millisecond)');
    LEGEND_CONSTANTS(:,8) = strpad('stim_duration in component membrane (millisecond)');
    LEGEND_CONSTANTS(:,9) = strpad('stim_amplitude in component membrane (microA_per_cm2)');
    LEGEND_CONSTANTS(:,10) = strpad('g_Na in component fast_sodium_current (milliS_per_cm2)');
    LEGEND_CONSTANTS(:,19) = strpad('E_Na in component fast_sodium_current (millivolt)');
    LEGEND_CONSTANTS(:,11) = strpad('Nao in component ionic_concentrations (millimolar)');
    LEGEND_CONSTANTS(:,12) = strpad('Nai in component ionic_concentrations (millimolar)');
    LEGEND_STATES(:,2) = strpad('m in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_STATES(:,3) = strpad('h in component fast_sodium_current_h_gate (dimensionless)');
    LEGEND_STATES(:,4) = strpad('j in component fast_sodium_current_j_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,2) = strpad('alpha_m in component fast_sodium_current_m_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,9) = strpad('beta_m in component fast_sodium_current_m_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,3) = strpad('alpha_h in component fast_sodium_current_h_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,10) = strpad('beta_h in component fast_sodium_current_h_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,4) = strpad('alpha_j in component fast_sodium_current_j_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,11) = strpad('beta_j in component fast_sodium_current_j_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,15) = strpad('E_si in component slow_inward_current (millivolt)');
    LEGEND_STATES(:,5) = strpad('Cai in component intracellular_calcium_concentration (millimolar)');
    LEGEND_STATES(:,6) = strpad('d in component slow_inward_current_d_gate (dimensionless)');
    LEGEND_STATES(:,7) = strpad('f in component slow_inward_current_f_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,5) = strpad('alpha_d in component slow_inward_current_d_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,12) = strpad('beta_d in component slow_inward_current_d_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,6) = strpad('alpha_f in component slow_inward_current_f_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,13) = strpad('beta_f in component slow_inward_current_f_gate (per_millisecond)');
    LEGEND_CONSTANTS(:,20) = strpad('g_K in component time_dependent_potassium_current (milliS_per_cm2)');
    LEGEND_CONSTANTS(:,21) = strpad('E_K in component time_dependent_potassium_current (millivolt)');
    LEGEND_CONSTANTS(:,13) = strpad('PR_NaK in component time_dependent_potassium_current (dimensionless)');
    LEGEND_CONSTANTS(:,14) = strpad('Ko in component ionic_concentrations (millimolar)');
    LEGEND_CONSTANTS(:,15) = strpad('Ki in component ionic_concentrations (millimolar)');
    LEGEND_STATES(:,8) = strpad('X in component time_dependent_potassium_current_X_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,17) = strpad('Xi in component time_dependent_potassium_current_Xi_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,7) = strpad('alpha_X in component time_dependent_potassium_current_X_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,14) = strpad('beta_X in component time_dependent_potassium_current_X_gate (per_millisecond)');
    LEGEND_CONSTANTS(:,22) = strpad('E_K1 in component time_independent_potassium_current (millivolt)');
    LEGEND_CONSTANTS(:,23) = strpad('g_K1 in component time_independent_potassium_current (milliS_per_cm2)');
    LEGEND_ALGEBRAIC(:,21) = strpad('K1_infinity in component time_independent_potassium_current_K1_gate (dimensionless)');
    LEGEND_ALGEBRAIC(:,19) = strpad('alpha_K1 in component time_independent_potassium_current_K1_gate (per_millisecond)');
    LEGEND_ALGEBRAIC(:,20) = strpad('beta_K1 in component time_independent_potassium_current_K1_gate (per_millisecond)');
    LEGEND_CONSTANTS(:,24) = strpad('E_Kp in component plateau_potassium_current (millivolt)');
    LEGEND_CONSTANTS(:,16) = strpad('g_Kp in component plateau_potassium_current (milliS_per_cm2)');
    LEGEND_ALGEBRAIC(:,23) = strpad('Kp in component plateau_potassium_current (dimensionless)');
    LEGEND_CONSTANTS(:,17) = strpad('E_b in component background_current (millivolt)');
    LEGEND_CONSTANTS(:,18) = strpad('g_b in component background_current (milliS_per_cm2)');
    LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)');
    LEGEND_RATES(:,2) = strpad('d/dt m in component fast_sodium_current_m_gate (dimensionless)');
    LEGEND_RATES(:,3) = strpad('d/dt h in component fast_sodium_current_h_gate (dimensionless)');
    LEGEND_RATES(:,4) = strpad('d/dt j in component fast_sodium_current_j_gate (dimensionless)');
    LEGEND_RATES(:,6) = strpad('d/dt d in component slow_inward_current_d_gate (dimensionless)');
    LEGEND_RATES(:,7) = strpad('d/dt f in component slow_inward_current_f_gate (dimensionless)');
    LEGEND_RATES(:,8) = strpad('d/dt X in component time_dependent_potassium_current_X_gate (dimensionless)');
    LEGEND_RATES(:,5) = strpad('d/dt Cai in component intracellular_calcium_concentration (millimolar)');
    LEGEND_STATES  = LEGEND_STATES';
    LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
    LEGEND_RATES = LEGEND_RATES';
    LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end

function [STATES, CONSTANTS] = initConsts()
    VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
    STATES(:,1) = -84.3801107371;
    CONSTANTS(:,1) = 8314;
    CONSTANTS(:,2) = 310;
    CONSTANTS(:,3) = 96484.6;
    CONSTANTS(:,4) = 1;
    CONSTANTS(:,5) = 100;
    CONSTANTS(:,6) = 9000;
    CONSTANTS(:,7) = 1000;
    CONSTANTS(:,8) = 2;
    CONSTANTS(:,9) = -25.5;
    CONSTANTS(:,10) = 23;
    CONSTANTS(:,11) = 140;
    CONSTANTS(:,12) = 18;
    STATES(:,2) = 0.00171338077730188;
    STATES(:,3) = 0.982660523699656;
    STATES(:,4) = 0.989108212766685;
    STATES(:,5) = 0.00017948816388306;
    STATES(:,6) = 0.00302126301779861;
    STATES(:,7) = 0.999967936476325;
    CONSTANTS(:,13) = 0.01833;
    CONSTANTS(:,14) = 5.4;
    CONSTANTS(:,15) = 145;
    STATES(:,8) = 0.0417603108167287;
    CONSTANTS(:,16) = 0.0183;
    CONSTANTS(:,17) = -59.87;
    CONSTANTS(:,18) = 0.03921;
    CONSTANTS(:,19) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,11)./CONSTANTS(:,12));
    CONSTANTS(:,20) =  0.282000.*power((CONSTANTS(:,14)./5.40000), 1.0 ./ 2);
    CONSTANTS(:,21) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log((CONSTANTS(:,14)+ CONSTANTS(:,13).*CONSTANTS(:,11))./(CONSTANTS(:,15)+ CONSTANTS(:,13).*CONSTANTS(:,12)));
    CONSTANTS(:,22) =  (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,14)./CONSTANTS(:,15));
    CONSTANTS(:,23) =  0.604700.*power((CONSTANTS(:,14)./5.40000), 1.0 ./ 2);
    CONSTANTS(:,24) = CONSTANTS(:,22);
    if (isempty(STATES)), warning('Initial values for states not set');, end
end

function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
    global algebraicVariableCount;
    statesSize = size(STATES);
    statesColumnCount = statesSize(2);
    if ( statesColumnCount == 1)
        STATES = STATES';
        ALGEBRAIC = zeros(1, algebraicVariableCount);
        utilOnes = 1;
    else
        statesRowCount = statesSize(1);
        ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
        RATES = zeros(statesRowCount, statesColumnCount);
        utilOnes = ones(statesRowCount, 1);
    end
    ALGEBRAIC(:,2) = ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp(  - 0.100000.*(STATES(:,1)+47.1300)));
    ALGEBRAIC(:,9) =  0.0800000.*exp( - STATES(:,1)./11.0000);
    RATES(:,2) =  ALGEBRAIC(:,2).*(1.00000 - STATES(:,2)) -  ALGEBRAIC(:,9).*STATES(:,2);
    ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000,  0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000) }, 0.00000);
    ALGEBRAIC(:,10) = piecewise({STATES(:,1)< - 40.0000,  3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
    RATES(:,3) =  ALGEBRAIC(:,3).*(1.00000 - STATES(:,3)) -  ALGEBRAIC(:,10).*STATES(:,3);
    ALGEBRAIC(:,4) = piecewise({STATES(:,1)< - 40.0000, ( (  - 127140..*exp( 0.244400.*STATES(:,1)) -  3.47400e-05.*exp(  - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
    ALGEBRAIC(:,11) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp(  - 0.0105200.*STATES(:,1)))./(1.00000+exp(  - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp(  - 2.53500e-07.*STATES(:,1)))./(1.00000+exp(  - 0.100000.*(STATES(:,1)+32.0000))));
    RATES(:,4) =  ALGEBRAIC(:,4).*(1.00000 - STATES(:,4)) -  ALGEBRAIC(:,11).*STATES(:,4);
    ALGEBRAIC(:,5) = ( 0.0950000.*exp(  - 0.0100000.*(STATES(:,1) - 5.00000)))./(1.00000+exp(  - 0.0720000.*(STATES(:,1) - 5.00000)));
    ALGEBRAIC(:,12) = ( 0.0700000.*exp(  - 0.0170000.*(STATES(:,1)+44.0000)))./(1.00000+exp( 0.0500000.*(STATES(:,1)+44.0000)));
    RATES(:,6) =  ALGEBRAIC(:,5).*(1.00000 - STATES(:,6)) -  ALGEBRAIC(:,12).*STATES(:,6);
    ALGEBRAIC(:,6) = ( 0.0120000.*exp(  - 0.00800000.*(STATES(:,1)+28.0000)))./(1.00000+exp( 0.150000.*(STATES(:,1)+28.0000)));
    ALGEBRAIC(:,13) = ( 0.00650000.*exp(  - 0.0200000.*(STATES(:,1)+30.0000)))./(1.00000+exp(  - 0.200000.*(STATES(:,1)+30.0000)));
    RATES(:,7) =  ALGEBRAIC(:,6).*(1.00000 - STATES(:,7)) -  ALGEBRAIC(:,13).*STATES(:,7);
    ALGEBRAIC(:,7) = ( 0.000500000.*exp( 0.0830000.*(STATES(:,1)+50.0000)))./(1.00000+exp( 0.0570000.*(STATES(:,1)+50.0000)));
    ALGEBRAIC(:,14) = ( 0.00130000.*exp(  - 0.0600000.*(STATES(:,1)+20.0000)))./(1.00000+exp(  - 0.0400000.*(STATES(:,1)+20.0000)));
    RATES(:,8) =  ALGEBRAIC(:,7).*(1.00000 - STATES(:,8)) -  ALGEBRAIC(:,14).*STATES(:,8);
    ALGEBRAIC(:,15) = 7.70000 -  13.0287.*log(STATES(:,5)./1.00000);
    ALGEBRAIC(:,16) =  0.0900000.*STATES(:,6).*STATES(:,7).*(STATES(:,1) - ALGEBRAIC(:,15));
    RATES(:,5) =  ( - 0.000100000./1.00000).*ALGEBRAIC(:,16)+ 0.0700000.*(0.000100000 - STATES(:,5));
    ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) -  floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
    ALGEBRAIC(:,8) =  CONSTANTS(:,10).*power(STATES(:,2), 3.00000).*STATES(:,3).*STATES(:,4).*(STATES(:,1) - CONSTANTS(:,19));
    ALGEBRAIC(:,17) = piecewise({STATES(:,1)> - 100.000, ( 2.83700.*(exp( 0.0400000.*(STATES(:,1)+77.0000)) - 1.00000))./( (STATES(:,1)+77.0000).*exp( 0.0400000.*(STATES(:,1)+35.0000))) }, 1.00000);
    ALGEBRAIC(:,18) =  CONSTANTS(:,20).*STATES(:,8).*ALGEBRAIC(:,17).*(STATES(:,1) - CONSTANTS(:,21));
    ALGEBRAIC(:,19) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - CONSTANTS(:,22)) - 59.2150)));
    ALGEBRAIC(:,20) = ( 0.491240.*exp( 0.0803200.*((STATES(:,1)+5.47600) - CONSTANTS(:,22)))+ 1.00000.*exp( 0.0617500.*(STATES(:,1) - (CONSTANTS(:,22)+594.310))))./(1.00000+exp(  - 0.514300.*((STATES(:,1) - CONSTANTS(:,22))+4.75300)));
    ALGEBRAIC(:,21) = ALGEBRAIC(:,19)./(ALGEBRAIC(:,19)+ALGEBRAIC(:,20));
    ALGEBRAIC(:,22) =  CONSTANTS(:,23).*ALGEBRAIC(:,21).*(STATES(:,1) - CONSTANTS(:,22));
    ALGEBRAIC(:,23) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
    ALGEBRAIC(:,24) =  CONSTANTS(:,16).*ALGEBRAIC(:,23).*(STATES(:,1) - CONSTANTS(:,24));
    ALGEBRAIC(:,25) =  CONSTANTS(:,18).*(STATES(:,1) - CONSTANTS(:,17));
    RATES(:,1) =  ( - 1.00000./CONSTANTS(:,4)).*(ALGEBRAIC(:,1)+ALGEBRAIC(:,8)+ALGEBRAIC(:,16)+ALGEBRAIC(:,18)+ALGEBRAIC(:,22)+ALGEBRAIC(:,24)+ALGEBRAIC(:,25));
   RATES = RATES';
end

% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
    statesSize = size(STATES);
    statesColumnCount = statesSize(2);
    if ( statesColumnCount == 1)
        STATES = STATES';
        utilOnes = 1;
    else
        statesRowCount = statesSize(1);
        utilOnes = ones(statesRowCount, 1);
    end
    ALGEBRAIC(:,2) = ( 0.320000.*(STATES(:,1)+47.1300))./(1.00000 - exp(  - 0.100000.*(STATES(:,1)+47.1300)));
    ALGEBRAIC(:,9) =  0.0800000.*exp( - STATES(:,1)./11.0000);
    ALGEBRAIC(:,3) = piecewise({STATES(:,1)< - 40.0000,  0.135000.*exp((80.0000+STATES(:,1))./ - 6.80000) }, 0.00000);
    ALGEBRAIC(:,10) = piecewise({STATES(:,1)< - 40.0000,  3.56000.*exp( 0.0790000.*STATES(:,1))+ 310000..*exp( 0.350000.*STATES(:,1)) }, 1.00000./( 0.130000.*(1.00000+exp((STATES(:,1)+10.6600)./ - 11.1000))));
    ALGEBRAIC(:,4) = piecewise({STATES(:,1)< - 40.0000, ( (  - 127140..*exp( 0.244400.*STATES(:,1)) -  3.47400e-05.*exp(  - 0.0439100.*STATES(:,1))).*(STATES(:,1)+37.7800))./(1.00000+exp( 0.311000.*(STATES(:,1)+79.2300))) }, 0.00000);
    ALGEBRAIC(:,11) = piecewise({STATES(:,1)< - 40.0000, ( 0.121200.*exp(  - 0.0105200.*STATES(:,1)))./(1.00000+exp(  - 0.137800.*(STATES(:,1)+40.1400))) }, ( 0.300000.*exp(  - 2.53500e-07.*STATES(:,1)))./(1.00000+exp(  - 0.100000.*(STATES(:,1)+32.0000))));
    ALGEBRAIC(:,5) = ( 0.0950000.*exp(  - 0.0100000.*(STATES(:,1) - 5.00000)))./(1.00000+exp(  - 0.0720000.*(STATES(:,1) - 5.00000)));
    ALGEBRAIC(:,12) = ( 0.0700000.*exp(  - 0.0170000.*(STATES(:,1)+44.0000)))./(1.00000+exp( 0.0500000.*(STATES(:,1)+44.0000)));
    ALGEBRAIC(:,6) = ( 0.0120000.*exp(  - 0.00800000.*(STATES(:,1)+28.0000)))./(1.00000+exp( 0.150000.*(STATES(:,1)+28.0000)));
    ALGEBRAIC(:,13) = ( 0.00650000.*exp(  - 0.0200000.*(STATES(:,1)+30.0000)))./(1.00000+exp(  - 0.200000.*(STATES(:,1)+30.0000)));
    ALGEBRAIC(:,7) = ( 0.000500000.*exp( 0.0830000.*(STATES(:,1)+50.0000)))./(1.00000+exp( 0.0570000.*(STATES(:,1)+50.0000)));
    ALGEBRAIC(:,14) = ( 0.00130000.*exp(  - 0.0600000.*(STATES(:,1)+20.0000)))./(1.00000+exp(  - 0.0400000.*(STATES(:,1)+20.0000)));
    ALGEBRAIC(:,15) = 7.70000 -  13.0287.*log(STATES(:,5)./1.00000);
    ALGEBRAIC(:,16) =  0.0900000.*STATES(:,6).*STATES(:,7).*(STATES(:,1) - ALGEBRAIC(:,15));
    ALGEBRAIC(:,1) = piecewise({VOI>=CONSTANTS(:,5)&VOI<=CONSTANTS(:,6)&(VOI - CONSTANTS(:,5)) -  floor((VOI - CONSTANTS(:,5))./CONSTANTS(:,7)).*CONSTANTS(:,7)<=CONSTANTS(:,8), CONSTANTS(:,9) }, 0.00000);
    ALGEBRAIC(:,8) =  CONSTANTS(:,10).*power(STATES(:,2), 3.00000).*STATES(:,3).*STATES(:,4).*(STATES(:,1) - CONSTANTS(:,19));
    ALGEBRAIC(:,17) = piecewise({STATES(:,1)> - 100.000, ( 2.83700.*(exp( 0.0400000.*(STATES(:,1)+77.0000)) - 1.00000))./( (STATES(:,1)+77.0000).*exp( 0.0400000.*(STATES(:,1)+35.0000))) }, 1.00000);
    ALGEBRAIC(:,18) =  CONSTANTS(:,20).*STATES(:,8).*ALGEBRAIC(:,17).*(STATES(:,1) - CONSTANTS(:,21));
    ALGEBRAIC(:,19) = 1.02000./(1.00000+exp( 0.238500.*((STATES(:,1) - CONSTANTS(:,22)) - 59.2150)));
    ALGEBRAIC(:,20) = ( 0.491240.*exp( 0.0803200.*((STATES(:,1)+5.47600) - CONSTANTS(:,22)))+ 1.00000.*exp( 0.0617500.*(STATES(:,1) - (CONSTANTS(:,22)+594.310))))./(1.00000+exp(  - 0.514300.*((STATES(:,1) - CONSTANTS(:,22))+4.75300)));
    ALGEBRAIC(:,21) = ALGEBRAIC(:,19)./(ALGEBRAIC(:,19)+ALGEBRAIC(:,20));
    ALGEBRAIC(:,22) =  CONSTANTS(:,23).*ALGEBRAIC(:,21).*(STATES(:,1) - CONSTANTS(:,22));
    ALGEBRAIC(:,23) = 1.00000./(1.00000+exp((7.48800 - STATES(:,1))./5.98000));
    ALGEBRAIC(:,24) =  CONSTANTS(:,16).*ALGEBRAIC(:,23).*(STATES(:,1) - CONSTANTS(:,24));
    ALGEBRAIC(:,25) =  CONSTANTS(:,18).*(STATES(:,1) - CONSTANTS(:,17));
end

% Compute result of a piecewise function
function x = piecewise(cases, default)
    set = [0];
    for i = 1:2:length(cases)
        if (length(cases{i+1}) == 1)
            x(cases{i} & ~set,:) = cases{i+1};
        else
            x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
        end
        set = set | cases{i};
        if(set), break, end
    end
    if (length(default) == 1)
        x(~set,:) = default;
    else
        x(~set,:) = default(~set);
    end
end

% Pad out or shorten strings to a set length
function strout = strpad(strin)
    req_length = 160;
    insize = size(strin,2);
    if insize > req_length
        strout = strin(1:req_length);
    else
        strout = [strin, blanks(req_length - insize)];
    end
end